Use the image to answer the question.
An illustration shows a triangle with sides measuring 16 meters, 14 meters, and 8 meters. A dashed perpendicular line, from the side measuring 16 meters to the opposite angle, measures 7 meters. A right angle symbol is shown to the left of the perpendicular line.
A prism and pyramid have congruent triangular bases. If their heights are both 15 m, what is the volume of each shape?
(1 point)
The volume of the prism is
m3.
The volume of the pyramid is
m3.
try it
The volume of a prism is given by the formula V = base area x height. The base area of the prism is (1/2) x 14 x 8 = 56 square meters. So, the volume of the prism is 56 x 15 = 840 cubic meters.
The volume of a pyramid is given by the formula V = (1/3) x base area x height. Since the base of the pyramid is the same as the base of the prism, the base area is 56 square meters. So, the volume of the pyramid is (1/3) x 56 x 15 = 280 cubic meters.
Therefore, the volume of the prism is 840 cubic meters and the volume of the pyramid is 280 cubic meters.